Boundary conditions and estimates for the linearized Navier-Stokes equations on staggered grids

被引：13

作者：

Kress, W ^{[1
]}

Nilsson, J ^{[1
]}

机构：

[1] Univ Uppsala, Dept Comp Sci, S-75105 Uppsala, Sweden

来源：

COMPUTERS & FLUIDS | 2003年 / 32卷 / 08期

关键词：

Navier-Stokes equations; staggered grids;

D O I：

10.1016/S0045-7930(02)00090-7

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we consider the linearized Navier-Stokes equations in two dimensions under specified boundary conditions. We study both the continuous case and a discretization using a second-order finite difference method on a staggered grid and derive estimates for both the analytic solution and the approximation on staggered grids. We present numerical experiments to verify our results. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1093 / 1112

页数：20

共 9 条

[1]

BAKER GA, 1982, MATH COMPUT, V39, P339, DOI 10.1090/S0025-5718-1982-0669634-0

[2] A Compact Higher Order Finite Difference Method for the Incompressible Navier-Stokes Equations [J].